year 7 aqua pathway progress test progress assessment criteria 1...

Year 7 – Aqua Pathway

Progress Assessment Criteria Progress Test

1 2 3

1. I can multiply and divide any positive number by 0.1 and 0.01.

2. I can find estimates by correctly rounding to one significant figure.

3. I can solve problems involving angles in polygons.

4. I can solve problems by applying proportional reasoning.

5. I can substitute positive and negative integers, fractional and decimal values into formulae.

6. Use equivalent fractions to add and subtract fractions with different denominators, including mixed numbers.

7. I can expand and simplify expressions involving multiple single brackets.

8. I understand and can fully factorise an expression by taking out the highest common factor.

9. I can order a set of numbers given as a mixture of percentages, fractions and decimals.

10. I can construct, complete and use sample space diagrams to systematically list all outcomes of two successive events.

11. I can calculate any percentage of an amount using a decimal multiplier.

12. I can solve two step equations with an unknown on one side.

13. I can find the area of shapes made up from rectangles and triangles

14. I can write a product of prime factors using index notation.

15. I can solve problems involving volume of right prisms.

16. I can plot a straight line graph for a given function.

17. I can solve problems involving right-angled triangles using Pythagoras’ theorem.

18. I can divide a quantity into a given ratio.

19. I can compare sets of data using averages and range in context of the data.

20. I can make comparisons and conclusions from charts and graphs.

Recommended revision materials and online resources:

Remember that the best way to revise mathematics is to attempt questions.

- www.corbettmaths.com is a useful website which has revision videos for each topic.

- www.justmaths.com can also be used to support you in a similar way.

Username: GolborneStudent Password: Golborne

- Revision cards will be completed as an ongoing revision resource.

- Make use of the notes and examples in your exercise books.

- Lunchtime drop-in sessions are running every day in the Mathematics Department.

Please see posters around school and on the TV screens.

http://www.corbettmaths.com/

http://www.justmaths.com/

Year 7 – Maroon Pathway


1 2 3

1. I can compare and order quantities involving mixed metric units.

2. I can round to significant figures.


4. I can clearly explain my reasoning as to how I have found missing angles.


6. I can convert/interchange between equivalent improper fractions and mixed numbers.

7. Use equivalent fractions to add and subtract fractions with different denominators.

8. I can multiply out a bracket with any term outside the bracket (including letters).

9. I can find the area of a triangle using the formula.


11. I can increase/decrease an amount by a percentage.

12. I can write one amount as a percentage of another.

13. I can solve simple equations involving two steps using the balancing method.

14. I can find the volume of shapes made from cuboids.


16. I can simplify a ratio into its simplest form


18. I can decide which average is most suitable for a given situation.












Year 7 – Blue Pathway


1 2 3

1. I can multiply and divide by 10, 100 and 1000.

2. I can round numbers to a given number of decimal place.

3. I can find missing angles in geometrical problems using angles on a line, around a point and vertically opposite.


5. I understand the order in which calculations should be carried out.

6. I can simplify algebraic expression by collecting like terms.

7. I can simplify a fraction into its simplest form by considering common factors.

8. Find fractions of an amount (unit and non-unit fractions).

9. I can find the area and perimeter of shapes that are made up from rectangles.

10. I know the equivalence of standard percentages, fractions and decimals.

11. I can use knowledge of simple percentages to find other percentages of amounts.


13. I can find the lowest common multiple of two or more numbers.

14. I can find the highest common factor of two or more numbers.

15. I can find the volume of cubes and cuboids using their formulae.

16. I can recognise and draw straight lines parallel to axes.


18. I can find the mode, median and mean for data presented in a list.












Year 7 – Yellow Pathway


1 2 3

1. I know number bonds for 10, 20, 50 and 100

2. I can use a written method to add two or more numbers together, including decimals.

3. I can use a written method to subtract a number from another, including decimals.

4. I can use a written method to multiply two integer numbers together.

5. I can use a written method to divide a three digit number by a single digit number.

6. I can order a set of integers, including negative integers.

7. I can round numbers to the nearest 1, 10, 100 and 1000.


9. I understand that fractions can be equivalent and can identify simple equivalent fractions.

10. I can find the area and perimeter of rectilinear shapes by counting squares/edges.

11. I can tell the time on both digital (24-hour) and analogue clocks.

12. I can work out simple percentages of an amount, such as 50%, 25%, 10% and 20%, 5%.

13. I can solve simple equations involving one step using the balancing method.

14. I can list a specified number of multiples of a number and determine whether a number is a multiple of another number.

15. I can read and plot coordinates in all four quadrants.

16. I can write a ratio using the correct notation.












Year 8 Aqua Pathway


1 2 3

1. Given a calculation fact, I can find solutions to associated calculations.

2. I can identify and use angles facts, including angles in parallel line facts, to find missing angles in geometrical diagrams.

3. I can use the unitary method in real-life context to solve problems.

4. I can rearrange formulae to change the subject.

5. I can multiply by fractions, including mixed numbers.

6. I can divide a fraction by a fraction.

7. I can apply the laws of indices to simplify algebraic expressions

8. I can write a surd in its simplest form.

9. I can calculate probabilities of conditional events using the Venn diagram and two-way tables.

10. I can calculate percentage profit/loss and increase/decrease

11. I can find the original value given a percentage increase/decrease.

12. I can solve equations with the unknown on both sides of the equation.

13. I can find the area and perimeter of parts of circles

14. I can calculate the surface area of cuboids, triangular prisms and trapezoidal prism.

15. I can use Venn diagrams to work out the highest common factor and lowest common multiple of two or more numbers.

16. I can identify the equation of a straight line using the gradient and y-intercept.

17. I can find missing sides in right-angled triangles using sine, cosine and tangent

18. I can find missing angles in right-angled triangles using the inverse of sine, cosine and tangent

19. I can find the position-to-term rule(nth term) for an arithmetic sequence (increasing and decreasing)

20. I can perform the following transformations: (a) reflect a shape in any mirror line, including those given as equations of a lines; (b) rotate a shape by multiples of 90 degrees about a given point; (c) translate a shape by a vector














1 2 3

1. I can multiply and divide any positive number by 0.1 and 0.01.

2. I can find estimates by correctly rounding to one significant figure.


4. I can use the unitary method in real-life context to solve problems.


6. I can multiply a fraction by an integer.

7. I can divide a fraction by an integer.

8. I can construct, complete and use sample space diagrams to systematically list all outcomes of two successive events.


10. I can convert fractions to decimals by dividing using a formal method.


12. I can solve linear equations with an unknown on both sides.

13. I know and can use the formula to find the circumference of a circle.

14. I know and can use the formula to find the area of a circle.

15. I can simplify my product of prime factors using index notation.

16. I can find the volume of triangular prisms.

17. I can work out the gradient of a straight line (including negative gradients).


19. I can find the position-to-term rule (nth term) for an arithmetic sequence.

20. I can perform the following transformations: (a) reflect a shape in any mirror line, including those given as an equation of a line; (b) rotate a shape by multiples of 90 degrees about a given point; (c) translate a shape by a vector














1 2 3

1. I can solve multi-step problems involving multiplying decimals in context.

2. I can perform all operations with negative numbers fluently.

3. I can round whole numbers to significant figures.

4. I can use multiple angle facts to find missing angles in a geometrical problem.



7. Use equivalent fractions to add and subtract fractions with different denominators, including mixed numbers

8. I can expand and simplify expressions involving multiplying out multiple single brackets within an expression.

9. I can systematically list all possible outcomes for two or more mutually exclusive events.




13. I can find the area of shapes made up from rectangles and triangles.

14. I can calculate the surface area of a cube/cuboid.

15. I can use factor trees to write any number as a product of its prime factors.



18. I can find the position-to-term rule(nth term) for an arithmetic sequence.















1 2 3

1. I can multiply and divide by 10, 100 and 1000.

2. I can round numbers to a given number of decimal place.

3. I can find missing angles in geometrical problems using angles on a line, around a point and vertically opposite.


5. I understand the order in which calculations should be carried out.

6. I can simplify algebraic expression by collecting like terms.

7. I can simplify a fraction into its simplest form by considering common factors.

8. Find fractions of an amount (unit and non-unit fractions).

9. I can find the area and perimeter of shapes that are made up from rectangles.

10. I know the equivalence of standard percentages, fractions and decimals.

11. I can use knowledge of simple percentages to find other percentages of amounts.


13. I can find the lowest common multiple of two or more numbers.

14. I can find the highest common factor of two or more numbers.

15. I can find the volume of cubes and cuboids using their formulae.

16. I can recognise and draw straight lines parallel to axes.


18. I can find the mode, median and mean for data presented in a list.












Year 9 Aqua Pathway


1 2 3 4 1. I can fluently perform all four operations with fractions and mixed numbers.

2. I can rearrange more complex formulae, which require factorising to isolate the variable, to change the subject

3. I can convert between ordinary numbers and standard form

4. I can rationalise the denominator by multiplying by a single surd value.

5. When working with sectors, I can: (a) find the arc length; (b) find the area

6. I can add and subtract simple algebraic fractions

7. I can form and solve equations from shape/real-life problems

8. I can use inequality symbols to show error intervals

9. I can find the equation of a straight line that is parallel to a given line/equation which passes through a given point.

10. I know or can use appropriate triangles to work out the exact values of sin, cos and tan of key angles.

11. I can use a formal procedure to convert a recurring decimal to a fraction in its simplest form.

12. I can recognise and draw quadratic functions.

13. I can expand and simplify two brackets

14. I can factorise quadratics of the form x2 + bx + c

15. I can calculate simple interest and compound interest

16. I can solve problems involving volume, including rates of flow problems

17. I can solve inequalities using the balancing method and represent the solution on a number line.

18. I can calculate speed, distance or time using the relationship speed=distance/time

19. I can enlarge a 2D shape on a grid if I am given the centre of enlargement and a positive integer scale factor

20. I can interpret a distance-time graph and use it to work out speed (per section or average speed)














1 2 3 4



3. I can identify and use angles facts, including angles in parallel line facts, to find missing angles in more complex geometrical diagrams.

4. I can find the inverse function when written in function notation.


6. I can convert between ordinary numbers and those in standard index form.

7. I can calculate the surface area of triangular prisms, trapezoidal prisms.

8. I can form and solve equations from shape/real-life problems.

9. I can use inequality symbols to show error intervals.



12. I can find missing sides in right-angled triangles using sine, cosine and tangent.

13. I can find missing angles in right-angled triangles using the inverse of sine, cosine and tangent.

14. I can use a formal procedure to convert a recurring decimal to a fraction in its simplest form.

15. I can recognise and draw quadratic functions

16. I can expand and simplify two brackets

17. I can find the original value given a percentage increase/decrease.

18. I can solve problems involving volume, including rates of flow problems


20. I can enlarge a 2D shape on a grid if I am given the centre of enlargement and a positive integer scale factor

21. I can draw and interpret straight line graphs for real life situations.














1 2 3 4 1. I can use a calculation fact to work out associated calculations by using estimation

and differences.












13. I can use the product of prime factors to work out the HCF and LCM of two numbers using a Venn diagram.

14. I can solve problems involving volume, including rates of flow problems.





19. I can expand and simplify two brackets.















1 2 3 4

1. I can solve multi-step problems involving multiplying decimals in context.

2. I can perform all operations with negative numbers fluently.

3. I can round whole numbers to significant figures.

4. I can use multiple angle facts to find missing angles in a geometrical problem.



7. Use equivalent fractions to add and subtract fractions with different denominators, including mixed numbers

8. I can expand and simplify expressions involving multiplying out multiple single brackets within an expression.

9. I can systematically list all possible outcomes for two or more mutually exclusive events.




13. I can find the area of shapes made up from rectangles and triangles.

14. I can calculate the surface area of a cube/cuboid.

15. I can use factor trees to write any number as a product of its prime factors.



18. I can find the position-to-term rule (nth term) for an arithmetic sequence.













Year 10 Aqua Pathway


1 2 3 4

1. I can evaluate numbers written with negative fractional powers

2. I can recognise circle theorems and find missing angles.

3. I can use an appropriate method to find the inverse function for a given function.

4. I can use substitution to find composite functions.

5. I can write a quadratic equation in the form (x + a)2 + b.

6. I can find the upper and lower bounds of simple calculations

7. I can find the equation of a straight line perpendicular to a given line which passes through a given point.

8. I can solve a pair of simultaneous equations in two variables algebraically (multiplication of both equations required)

9. Solve problems which include finding the multiplier in a situation involving direct proportion

10. Solve problems which include finding the multiplier in a situation involving inverse proportion

11. I can find approximate solutions to a quadratic equation by plotting an appropriate linear graph to find the intersection points with a quadratic function.

12. I can solve a quadratic equation in the form ax2 + bx + c = 0 by factorising to find two solutions.

13. I can use the quadratic formula to solve quadratic equations.

14. I can solve functional problems involving the surface area and volume of 3D shapes.

15. I can work out the nth term (position to term rule) for a quadratic sequence.

16. I can use the length scale factor to find missing side lengths.

17. I can use the relevant scale factor to find missing lengths, areas or volumes for the similar solids.

18. I can construct and shade a graph to represent a set of linear inequalities in two variables.

19. I can identify the type of graph from the shape and can use this to check the graphs seem correct.

20. I can use standard algebraic vector notation to combine simple combinations of vectors.

21. I can solve equations involving algebraic fractions where the result is a linear equation














1 2 3 4

1. I can recognise circle theorems and find missing angles.

2. I can calculate simple interest and compound interest.

3. I can factorise quadratics of the form x2 + bx + c

4. I can find the upper and lower bounds of simple calculations.

5. I can find the equation of a straight line that is parallel to a given line/equation which passes through a given point.

6. I can expand expressions involving surd by multiplying our single brackets.

7. I can evaluate numbers written with negative powers.

8. I can evaluate numbers written with fractional powers (unit and non-unit fractional powers).

9. I can solve a pair of simultaneous equations in two variables algebraically (multiplication of both equations required)

10. I know or can use appropriate triangles to work out the exact values of sin, cos and tan of key angles.

11. I can calculate speed, distance or time using the relationship speed=distance/time

12. I can use the relationship between mass, volume and density to calculate one of the quantities

13. I can use the quadratic graph to solve a related quadratic equation by identifying the roots.

14. I can identify the minimum/maximum point of a graph using the completed square form.

15. I can solve a quadratic equation in the form ax2 + bx + c = 0 by factorising to find two solutions.

16. I can use the quadratic formula to solve quadratic equations.

17. I can use the nth term to decide whether or not a number is in a sequence.

18. I can use the length scale factor to find missing side lengths.

19. I can construct plans and elevations for 3D shapes.














1 2 3 4 1. I can identify and use angles facts, including angles in parallel line facts, to

find missing angles in more complex geometrical diagrams.

2. I can calculate simple interest and compound interest.


4. I can convert between ordinary numbers and those in standard index form.

5. I can find the area of simple sectors.

6. I can find the arc length and perimeter of simple sectors.

7. I can calculate the surface area of triangular prisms, trapezoidal prisms.

8. I can use inequality symbols to show error intervals for truncated measurements.


10. I can find missing sides in right-angled triangles using sine, cosine and tangent.

11. I can find missing angles in right-angled triangles using the inverse of sine, cosine and tangent.

12. I can factorise quadratics of the form x2 + bx + c.

13. I can identify the solution to a pair of simultaneous equations from a graph.

14. I can solve problems involving density, mass and volume.

15. I can draw and interpret straight line graphs for real life situations.

16. I can enlarge a 2D shape on a grid if I am given the centre of enlargement and a positive integer scale factor.

17. I can construct plans and elevations for 3D shapes.














1 2 3 4 1. I can use a calculation fact to work out associated calculations by using estimation

and differences.












13. I can use the product of prime factors to work out the HCF and LCM of two numbers using a Venn diagram.

14. I can solve problems involving volume, including rates of flow problems.





19. I can expand and simplify two brackets.













year 7 aqua pathway progress test progress assessment criteria 1...

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